>>13666276How does it restrict natural curiosity?
>>13666292>when I was in high-school I just downloaded freshman level textbooks and studied by myselfSame.
>Schools are there to teach you the minimum standards (that a nig can pass), not teachIn my school almost every section contained a bit more advanced problems which required genuine thought and were not mandatory. They also presented some very nice proofs in classes (she called them little pearls). This was both in both of my high schools and in middle schools (although only one high school teacher called them pearls).
Perhaps it's just the schools I went to, but I strongly suspect it's not.
One topic I remember being taught that was not motivated properly was function transformations. If you have a function f(x), then f(x)+c shifts the graph c units up and f(x-c) shifs it c units to the right. It wasn't explained why it does so and more crucially why there's a difference (why the number in the argument shifts it in the opposite dimension). However the topic was taught by a substitute teacher doing her practice and it was just one class, so I can't exactly blame my school for it. Of course the right way to look at it is as an equation y=f(x), then substitutions y'=y+c1 and x'=x+c2 moves the function graph c1 units to the right and c2 units to the left in the new y' x' coordinates, and now it's uniform and also generalizes to other transformations like rotations etc.
>>13666302 >I did absolutely horrible in high school math and I hated it. I thought I wasn't good at math
Why did you do horrible? Did you do your homework and studied properly? Did you ask teachers for help when you were struggling?
>I went into EE because I did electronics projects on my spare time, and in calculus I discovered I loved math.You didn't do calculus in high school?
>Based on my highschool performance I would have never achived any of this What do you mean? You had your highschool performance and you achieved all of this.
